标签:static OLE public code ble count use color ber
question:
Show that the number of compares used by mergesort is monotonically increasing(C(N+1) > C(N) for all N > 0).
answer:
//比较仅仅指less()?
import edu.princeton.cs.algs4.*; public class Merge { private static Comparable[] aux; public static int count = 0; public static void sort(Comparable[] a) { aux = new Comparable[a.length]; sort(a, 0, a.length-1); } private static boolean less(Comparable v, Comparable w) { count++; return v.compareTo(w) < 0; } private static void show(Comparable[] a) { for(int i = 0; i < a.length; i++) StdOut.print(a[i] + " "); StdOut.println(); } public static boolean isSorted(Comparable[] a) { for(int i = 1; i < a.length; i++) if(less(a[i], a[i-1])) return false; return true; } public static void merge(Comparable[] a, int lo, int mid, int hi) { int i = lo, j = mid + 1; for(int k = lo; k <= hi; k++)//复制 aux[k] = a[k]; for(int k = lo; k <= hi; k++)//把a[]填满就退出循环 { if(i > mid)//左侧已用完,则只能从右侧拿 a[k] = aux[j++]; else if(j > hi)//右侧已用完,则只能从左侧拿 a[k] = aux[i++]; else if(less(aux[i], aux[j]))//当前左侧比右侧小,从右侧拿 a[k] = aux[i++]; else//反之当前右侧比左侧小,从左侧拿 a[k] = aux[j++]; } } private static void sort(Comparable[] a, int lo, int hi) { if(hi <= lo) return; int mid = lo + (hi - lo) / 2;//不用(a+b)/2是因为a+b可能超过int的上界,防止溢出 sort(a,lo,mid);//排左侧 sort(a,mid+1,hi);//排右侧 merge(a,lo,mid,hi);//归并 } public static void main(String[] args) { int N = 1; while(N <= 512) { Double[] a = new Double[N]; for(int t = 0; t < N; t++) a[t] = StdRandom.uniform(); sort(a); StdOut.println(count); count = 0; N++; } } }
标签:static OLE public code ble count use color ber
原文地址:https://www.cnblogs.com/w-j-c/p/9118931.html